Question

A path is 3.5 M wide runs inside along the boundary of a square field whose side is 65 M. find the area of the path. Also find the cost of manuring the rest of the field at the rate of Rs. 25 per square metre.

Answer 1

Hello Mate!

Here a big square has side = 65 m

Length of inner square = 65m - ( 3.5 + 3.5 )m
= 58 m

Area of path = Area of outer square - Area of inner square

= 65^2 - 58^2
= ( 65 + 58 )( 65 - 58 )
= 123 × 7
= 861 m^2

Area of inner field = 58^2
= ( 60 - 2 )^2 = 60^2 + 2^2 - 2 × 60 × 2
= 3600 + 4 - 240 = 3604 - 240
= 3364 m^2

Cost of manuring = 3364 × 25
= Rs 84,100

Hope it helps☺!✌

Answer 2

Step-by-step explanation:

Answer:

→ Area of the path = 861 m² .

Step-by-step explanation:

Given :-

→ Width of path = 3.5 m .

→ Side of square park along with path = 65 m .

To find :-

→ Area of the path .

Solution :-

∵ Side of square park without the path = 65 - ( 2 × 3.5 )  =  58 m .

Now, area of square park alnog with path

= side × side .

= ( 65 × 65 ) m² .

= 4225 m² .

And, area of square park without path

= side × side .

= ( 58 × 58 ) m² .

= 3364 m² .

Therefore, area of the path = ( 4225 - 3364 ) m² .

= 861 m² .

And, cost of measuring the rest of the field = 3364 × 25 .

= ₹86100 .

Hence, it is solved . .. ..

THANKS